1st Edition

Differential Equations Stability and Control

Edited By Saber N. Elaydi Copyright 1990

    Reports and expands upon topics discussed at the International Conference on [title] held in Colorado Springs, Colo., June 1989. Presents recent advances in control, oscillation, and stability theories, spanning a variety of subfields and covering evolution equations, differential inclusions, functi

    Preface 1. Estimation of Quaternions Using otheuler Angle and Rate Measurements 2. Feedback Control for Stabilization of Flexible Multibody Structures 3. Radially Symmetric Solutions of Some Singular Elliptic Equations 4. Bounded or Almost Periodic Solutions of a Wave Equation with Nonlinear Viscosity 5. Stability of Equilibria in Some Infectious Disease Models 6. On a Dirichlet Problem with Jum ping Nonlinearity 7. Kneser Type Theorem s and Baire Properties for Planar Semidynamical Systems 8. Functional Evolution Equations Involving T -Accretive and T -Lipschitz Operators in Banach Lattices 9. C om parison Theorem s for Eigenvalue Problems for Right Disfocal Differential Equations 10. The Existence of Periodic Solutions of Nonlinear Volterra Equations with Infinite Delay 11. Boundary Value Problems for Differential Inclusions 12. Qualitative Behavior of a Generalized Emden—Fowler Differential System 13. An Oblique Derivative Problem Involving an Indefinite Weight 14. Oscillation s of Neutral Equations with Variable Coefficients 15. Oscillation of Neutral Difference Equations with Variable Coefficients 16. Numerical Solution of Variable Endpoint Problems in the Calculus of Variations 17. Convergence of Approximants in Banach Spaces 18. Viscosity Solutions of Bellman ’s Equation 19. C om parison of Eigenvalues for n-point Boundary Value Problems for Difference Equations 20. Oscillation and Nonoscillation Theorem s for Linear Systems 21. Bifurcation from the Essential Spectrum for Nonlinear Perturbations of Hill’s Equation 22. Boundary Value Problems for Nonlinear Difference Equations 23. On the Solutions of a C lass of Integral Equations A rising in Unsteady aerodynamics 24. Homogeneous Coord in ates and Continuous Asymptotically Stabilizing Feedback Controls 25. Oscillatory Solutions of a Fourth Order Linear Differential Equation 26. Abstract Semilinear Controllability and Its Applications of inite and Infinite Dimensional Control Problems 27. Oscillatory Behavior of Bounded of a Higher Order Equation 28. Resonance-Type Phenomena in Nonlinear Waves 29. L1-Solutions to a C lass of Limit point Operators 30. A Stochastic Inclusion Principle 31. Recent Developments in the Oscillation of Delay Difference Equations 32. Recent Advances in Lyapunov M eth od for Delay Differential Equations33. Exact Controllability of a P late Equation With One Control Acting as a Bending Moment 34. Application of the Mosers Technique to the Tangent Direction Problem for Certain C lass of Nonlinear Evolution Equations35. Stability Theory for Impulsive Differential Equations in Terms of Two Different Measures 36. Asymptotic Stability of Solutions of an Integro Differential System37. A Variational Problem Governed by a Multi-valued Differential Equation in a Separable Hilbert Space 38. Semilinear Equations at Resonance Where the Kernel H as Dimension Two 39. Disconjugacy of Second Order Linear Difference Equations 40. Oscillation Theorem s for Second Order Scalar Difference Equations 41. Disconjugacy for a Second Order System of Difference Equations 42. Som e Applications of the Attainable Set of x = A (u (t))x43. Singularity Theory and the Bifurcation Structure of a Nonlinear Elliptic Equation 44. and Stability of Periodic Solutions of Planar Periodic Systems at Resonance 45. Existence of T -Periodic Solutions to Second Order Nonlinear at 46. Stability Properties of Volterra Systems with Impulsive Effect 47. Normal Solvability Criteria for Certain Pseudo-Differential Operators with Non temperate 48. Stable and Un table Subspaces of a Critical Functional 485 Differential Equation 49. Control Problems for Differential Equation Models of Cancer Cell Kinetics 50. Oscillation of Even Order Neutral Delay Equations 51. Stability Properties of Bifurcating Periodic Solutions of Periodic Systems 52. Strong Monotonicity Principles and Applications to Volterra Integrodifferential

    Biography

    Saber N. Elaydi